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result sql = Development and validation of a spatially explicit individual-based mixed crop growth model.
Development and validation of a spatially explicit individual-based mixed crop growth model.
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char = t;code = 116
char = h;code = 104
char = i;code = 105
char = s;code = 115
char = ;code = 32
char = i;code = 105
char = n;code = 110
char = v;code = 118
char = e;code = 101
char = s;code = 115
char = t;code = 116
char = i;code = 105
char = g;code = 103
char = a;code = 97
char = t;code = 116
char = i;code = 105
char = o;code = 111
char = n;code = 110
char = ;code = 32
char = w;code = 119
char = a;code = 97
char = s;code = 115
char = ;code = 32
char = t;code = 116
char = o;code = 111
char = ;code = 32
char = f;code = 102
char = u;code = 117
char = r;code = 114
char = t;code = 116
char = h;code = 104
char = e;code = 101
char = r;code = 114
char = ;code = 32
char = d;code = 100
char = e;code = 101
char = v;code = 118
char = e;code = 101
char = l;code = 108
char = o;code = 111
char = p;code = 112
char = ;code = 32
char = a;code = 97
char = ;code = 32
char = p;code = 112
char = u;code = 117
char = b;code = 98
char = l;code = 108
char = i;code = 105
char = s;code = 115
char = h;code = 104
char = e;code = 101
char = d;code = 100
char = ;code = 32
char = s;code = 115
char = p;code = 112
char = a;code = 97
char = t;code = 116
char = i;code = 105
char = a;code = 97
char = l;code = 108
char = l;code = 108
char = y;code = 121
char = ;code = 32
char = e;code = 101
char = x;code = 120
char = p;code = 112
char = l;code = 108
char = i;code = 105
char = c;code = 99
char = i;code = 105
char = t;code = 116
char = ;code = 32
char = i;code = 105
char = n;code = 110
char = d;code = 100
char = i;code = 105
char = v;code = 118
char = i;code = 105
char = d;code = 100
char = u;code = 117
char = a;code = 97
char = l;code = 108
char = -;code = 45
char = b;code = 98
char = a;code = 97
char = s;code = 115
char = e;code = 101
char = d;code = 100
char = ;code = 32
char = m;code = 109
char = i;code = 105
char = x;code = 120
char = e;code = 101
char = d;code = 100
char = ;code = 32
char = c;code = 99
char = r;code = 114
char = o;code = 111
char = p;code = 112
char = ;code = 32
char = g;code = 103
char = r;code = 114
char = o;code = 111
char = w;code = 119
char = t;code = 116
char = h;code = 104
char = ;code = 32
char = m;code = 109
char = o;code = 111
char = d;code = 100
char = e;code = 101
char = l;code = 108
char = ;code = 32
char = [;code = 91
char = V;code = 86
char = a;code = 97
char = n;code = 110
char = d;code = 100
char = e;code = 101
char = r;code = 114
char = m;code = 109
char = e;code = 101
char = e;code = 101
char = r;code = 114
char = ,;code = 44
char = ;code = 32
char = J;code = 74
char = .;code = 46
char = ;code = 32
char = H;code = 72
char = .;code = 46
char = ;code = 32
char = (;code = 40
char = 1;code = 49
char = 9;code = 57
char = 8;code = 56
char = 9;code = 57
char = );code = 41
char = .;code = 46
char = ;code = 32
char = T;code = 84
char = h;code = 104
char = e;code = 101
char = ;code = 32
char = E;code = 69
char = c;code = 99
char = o;code = 111
char = l;code = 108
char = o;code = 111
char = g;code = 103
char = y;code = 121
char = ;code = 32
char = o;code = 111
char = f;code = 102
char = ;code = 32
char = I;code = 73
char = n;code = 110
char = t;code = 116
char = e;code = 101
char = r;code = 114
char = c;code = 99
char = r;code = 114
char = o;code = 111
char = p;code = 112
char = p;code = 112
char = i;code = 105
char = n;code = 110
char = g;code = 103
char = ,;code = 44
char = ;code = 32
char = C;code = 67
char = a;code = 97
char = m;code = 109
char = b;code = 98
char = r;code = 114
char = i;code = 105
char = d;code = 100
char = g;code = 103
char = e;code = 101
char = ,;code = 44
char = ;code = 32
char = U;code = 85
char = .;code = 46
char = K;code = 75
char = .;code = 46
char = :;code = 58
char = ;code = 32
char = C;code = 67
char = a;code = 97
char = m;code = 109
char = b;code = 98
char = r;code = 114
char = i;code = 105
char = d;code = 100
char = g;code = 103
char = e;code = 101
char = ;code = 32
char = U;code = 85
char = n;code = 110
char = i;code = 105
char = v;code = 118
char = e;code = 101
char = r;code = 114
char = s;code = 115
char = i;code = 105
char = t;code = 116
char = y;code = 121
char = ;code = 32
char = P;code = 80
char = r;code = 114
char = e;code = 101
char = s;code = 115
char = s;code = 115
char = ,;code = 44
char = ;code = 32
char = p;code = 112
char = .;code = 46
char = ;code = 32
char = 2;code = 50
char = 3;code = 51
char = 7;code = 55
char = ];code = 93
char = ,;code = 44
char = ;code = 32
char = a;code = 97
char = n;code = 110
char = d;code = 100
char = ;code = 32
char = t;code = 116
char = o;code = 111
char = ;code = 32
char = v;code = 118
char = a;code = 97
char = l;code = 108
char = i;code = 105
char = d;code = 100
char = a;code = 97
char = t;code = 116
char = e;code = 101
char = ;code = 32
char = i;code = 105
char = t;code = 116
char = ;code = 32
char = e;code = 101
char = x;code = 120
char = p;code = 112
char = e;code = 101
char = r;code = 114
char = i;code = 105
char = m;code = 109
char = e;code = 101
char = n;code = 110
char = t;code = 116
char = a;code = 97
char = l;code = 108
char = l;code = 108
char = y;code = 121
char = .;code = 46
char = ;code = 32
char = <;code = 60
char = b;code = 98
char = >;code = 62
char = W;code = 87
char = I;code = 73
char = T;code = 84
char = H;code = 72
char = ;code = 32
char = T;code = 84
char = H;code = 72
char = I;code = 73
char = S;code = 83
char = ;code = 32
char = P;code = 80
char = U;code = 85
char = R;code = 82
char = P;code = 80
char = O;code = 79
char = S;code = 83
char = E;code = 69
char = ;code = 32
char = I;code = 73
char = N;code = 78
char = ;code = 32
char = M;code = 77
char = I;code = 73
char = N;code = 78
char = D;code = 68
char = :;code = 58
char = ;code = 32
char = <;code = 60
char = /;code = 47
char = b;code = 98
char = >;code = 62
char = ;code = 32
char = (;code = 40
char = 1;code = 49
char = );code = 41
char = ;code = 32
char = c;code = 99
char = o;code = 111
char = m;code = 109
char = p;code = 112
char = u;code = 117
char = t;code = 116
char = e;code = 101
char = r;code = 114
char = ;code = 32
char = p;code = 112
char = r;code = 114
char = o;code = 111
char = g;code = 103
char = r;code = 114
char = a;code = 97
char = m;code = 109
char = s;code = 115
char = ;code = 32
char = t;code = 116
char = o;code = 111
char = ;code = 32
char = s;code = 115
char = i;code = 105
char = m;code = 109
char = u;code = 117
char = l;code = 108
char = a;code = 97
char = t;code = 116
char = e;code = 101
char = ;code = 32
char = i;code = 105
char = n;code = 110
char = d;code = 100
char = i;code = 105
char = v;code = 118
char = i;code = 105
char = d;code = 100
char = u;code = 117
char = a;code = 97
char = l;code = 108
char = ;code = 32
char = p;code = 112
char = l;code = 108
char = a;code = 97
char = n;code = 110
char = t;code = 116
char = ;code = 32
char = g;code = 103
char = r;code = 114
char = o;code = 111
char = w;code = 119
char = t;code = 116
char = h;code = 104
char = ;code = 32
char = a;code = 97
char = n;code = 110
char = d;code = 100
char = ;code = 32
char = t;code = 116
char = o;code = 111
char = ;code = 32
char = p;code = 112
char = e;code = 101
char = r;code = 114
char = f;code = 102
char = o;code = 111
char = r;code = 114
char = m;code = 109
char = ;code = 32
char = s;code = 115
char = t;code = 116
char = a;code = 97
char = t;code = 116
char = i;code = 105
char = s;code = 115
char = t;code = 116
char = i;code = 105
char = c;code = 99
char = a;code = 97
char = l;code = 108
char = ;code = 32
char = a;code = 97
char = n;code = 110
char = a;code = 97
char = l;code = 108
char = y;code = 121
char = s;code = 115
char = i;code = 105
char = s;code = 115
char = ;code = 32
char = o;code = 111
char = f;code = 102
char = ;code = 32
char = b;code = 98
char = o;code = 111
char = t;code = 116
char = h;code = 104
char = ;code = 32
char = d;code = 100
char = e;code = 101
char = t;code = 116
char = e;code = 101
char = r;code = 114
char = m;code = 109
char = i;code = 105
char = n;code = 110
char = i;code = 105
char = s;code = 115
char = t;code = 116
char = i;code = 105
char = c;code = 99
char = ;code = 32
char = a;code = 97
char = n;code = 110
char = d;code = 100
char = ;code = 32
char = s;code = 115
char = t;code = 116
char = o;code = 111
char = c;code = 99
char = h;code = 104
char = a;code = 97
char = s;code = 115
char = t;code = 116
char = i;code = 105
char = c;code = 99
char = ;code = 32
char = v;code = 118
char = e;code = 101
char = r;code = 114
char = s;code = 115
char = i;code = 105
char = o;code = 111
char = n;code = 110
char = s;code = 115
char = ;code = 32
char = o;code = 111
char = f;code = 102
char = ;code = 32
char = t;code = 116
char = h;code = 104
char = e;code = 101
char = ;code = 32
char = m;code = 109
char = o;code = 111
char = d;code = 100
char = e;code = 101
char = l;code = 108
char = ;code = 32
char = w;code = 119
char = e;code = 101
char = r;code = 114
char = e;code = 101
char = ;code = 32
char = d;code = 100
char = e;code = 101
char = v;code = 118
char = e;code = 101
char = l;code = 108
char = o;code = 111
char = p;code = 112
char = e;code = 101
char = d;code = 100
char = ;;code = 59
char = ;code = 32
char = (;code = 40
char = 2;code = 50
char = );code = 41
char = ;code = 32
char = t;code = 116
char = h;code = 104
char = e;code = 101
char = ;code = 32
char = m;code = 109
char = o;code = 111
char = d;code = 100
char = e;code = 101
char = l;code = 108
char = ;code = 32
char = w;code = 119
char = a;code = 97
char = s;code = 115
char = ;code = 32
char = p;code = 112
char = a;code = 97
char = r;code = 114
char = a;code = 97
char = m;code = 109
char = e;code = 101
char = t;code = 116
char = r;code = 114
char = i;code = 105
char = z;code = 122
char = e;code = 101
char = d;code = 100
char = ;code = 32
char = u;code = 117
char = s;code = 115
char = i;code = 105
char = n;code = 110
char = g;code = 103
char = ;code = 32
char = a;code = 97
char = ;code = 32
char = c;code = 99
char = o;code = 111
char = m;code = 109
char = p;code = 112
char = l;code = 108
char = e;code = 101
char = x;code = 120
char = ;code = 32
char = e;code = 101
char = x;code = 120
char = p;code = 112
char = e;code = 101
char = r;code = 114
char = i;code = 105
char = m;code = 109
char = e;code = 101
char = n;code = 110
char = t;code = 116
char = a;code = 97
char = l;code = 108
char = ;code = 32
char = d;code = 100
char = i;code = 105
char = c;code = 99
char = u;code = 117
char = l;code = 108
char = t;code = 116
char = u;code = 117
char = r;code = 114
char = e;code = 101
char = ;code = 32
char = w;code = 119
char = i;code = 105
char = t;code = 116
char = h;code = 104
char = ;code = 32
char = s;code = 115
char = e;code = 101
char = v;code = 118
char = e;code = 101
char = r;code = 114
char = a;code = 97
char = l;code = 108
char = ;code = 32
char = c;code = 99
char = o;code = 111
char = h;code = 104
char = o;code = 111
char = r;code = 114
char = t;code = 116
char = s;code = 115
char = ;code = 32
char = a;code = 97
char = n;code = 110
char = d;code = 100
char = ;code = 32
char = s;code = 115
char = p;code = 112
char = a;code = 97
char = t;code = 116
char = i;code = 105
char = a;code = 97
char = l;code = 108
char = ;code = 32
char = a;code = 97
char = r;code = 114
char = r;code = 114
char = a;code = 97
char = n;code = 110
char = g;code = 103
char = e;code = 101
char = m;code = 109
char = e;code = 101
char = n;code = 110
char = t;code = 116
char = s;code = 115
char = ;;code = 59
char = ;code = 32
char = (;code = 40
char = 3;code = 51
char = );code = 41
char = ;code = 32
char = t;code = 116
char = h;code = 104
char = e;code = 101
char = ;code = 32
char = p;code = 112
char = r;code = 114
char = e;code = 101
char = d;code = 100
char = i;code = 105
char = c;code = 99
char = t;code = 116
char = i;code = 105
char = v;code = 118
char = e;code = 101
char = ;code = 32
char = c;code = 99
char = a;code = 97
char = p;code = 112
char = a;code = 97
char = c;code = 99
char = i;code = 105
char = t;code = 116
char = y;code = 121
char = ;code = 32
char = o;code = 111
char = f;code = 102
char = ;code = 32
char = t;code = 116
char = h;code = 104
char = e;code = 101
char = ;code = 32
char = m;code = 109
char = o;code = 111
char = d;code = 100
char = e;code = 101
char = l;code = 108
char = ;code = 32
char = w;code = 119
char = a;code = 97
char = s;code = 115
char = ;code = 32
char = t;code = 116
char = e;code = 101
char = s;code = 115
char = t;code = 116
char = e;code = 101
char = d;code = 100
char = ;code = 32
char = u;code = 117
char = s;code = 115
char = i;code = 105
char = n;code = 110
char = g;code = 103
char = ;code = 32
char = i;code = 105
char = n;code = 110
char = d;code = 100
char = e;code = 101
char = p;code = 112
char = e;code = 101
char = n;code = 110
char = d;code = 100
char = e;code = 101
char = n;code = 110
char = t;code = 116
char = ;code = 32
char = s;code = 115
char = p;code = 112
char = a;code = 97
char = t;code = 116
char = i;code = 105
char = o;code = 111
char = -;code = 45
char = t;code = 116
char = e;code = 101
char = m;code = 109
char = p;code = 112
char = o;code = 111
char = r;code = 114
char = a;code = 97
char = l;code = 108
char = ;code = 32
char = e;code = 101
char = x;code = 120
char = p;code = 112
char = e;code = 101
char = r;code = 114
char = i;code = 105
char = m;code = 109
char = e;code = 101
char = n;code = 110
char = t;code = 116
char = a;code = 97
char = l;code = 108
char = ;code = 32
char = a;code = 97
char = r;code = 114
char = r;code = 114
char = a;code = 97
char = n;code = 110
char = g;code = 103
char = e;code = 101
char = m;code = 109
char = e;code = 101
char = n;code = 110
char = t;code = 116
char = s;code = 115
char = ;;code = 59
char = ;code = 32
char = (;code = 40
char = 4;code = 52
char = );code = 41
char = ;code = 32
char = a;code = 97
char = ;code = 32
char = m;code = 109
char = o;code = 111
char = d;code = 100
char = i;code = 105
char = f;code = 102
char = i;code = 105
char = e;code = 101
char = d;code = 100
char = ;code = 32
char = v;code = 118
char = e;code = 101
char = r;code = 114
char = s;code = 115
char = i;code = 105
char = o;code = 111
char = n;code = 110
char = ;code = 32
char = o;code = 111
char = f;code = 102
char = ;code = 32
char = t;code = 116
char = h;code = 104
char = e;code = 101
char = ;code = 32
char = m;code = 109
char = o;code = 111
char = d;code = 100
char = e;code = 101
char = l;code = 108
char = ;code = 32
char = w;code = 119
char = a;code = 97
char = s;code = 115
char = ;code = 32
char = w;code = 119
char = r;code = 114
char = i;code = 105
char = t;code = 116
char = t;code = 116
char = e;code = 101
char = n;code = 110
char = ,;code = 44
char = ;code = 32
char = w;code = 119
char = h;code = 104
char = i;code = 105
char = c;code = 99
char = h;code = 104
char = ;code = 32
char = a;code = 97
char = b;code = 98
char = a;code = 97
char = n;code = 110
char = d;code = 100
char = o;code = 111
char = n;code = 110
char = s;code = 115
char = ;code = 32
char = t;code = 116
char = h;code = 104
char = e;code = 101
char = ;code = 32
char = a;code = 97
char = s;code = 115
char = s;code = 115
char = u;code = 117
char = m;code = 109
char = p;code = 112
char = t;code = 116
char = i;code = 105
char = o;code = 111
char = n;code = 110
char = ;code = 32
char = o;code = 111
char = f;code = 102
char = ;code = 32
char = l;code = 108
char = i;code = 105
char = n;code = 110
char = e;code = 101
char = a;code = 97
char = r;code = 114
char = i;code = 105
char = t;code = 116
char = y;code = 121
char = ;code = 32
char = o;code = 111
char = f;code = 102
char = ;code = 32
char = t;code = 116
char = h;code = 104
char = e;code = 101
char = ;code = 32
char = n;code = 110
char = e;code = 101
char = i;code = 105
char = g;code = 103
char = h;code = 104
char = b;code = 98
char = o;code = 111
char = u;code = 117
char = r;code = 114
char = h;code = 104
char = o;code = 111
char = o;code = 111
char = d;code = 100
char = ;code = 32
char = i;code = 105
char = n;code = 110
char = d;code = 100
char = e;code = 101
char = x;code = 120
char = ;code = 32
char = a;code = 97
char = t;code = 116
char = ;code = 32
char = t;code = 116
char = h;code = 104
char = e;code = 101
char = ;code = 32
char = c;code = 99
char = o;code = 111
char = s;code = 115
char = t;code = 116
char = ;code = 32
char = o;code = 111
char = f;code = 102
char = ;code = 32
char = i;code = 105
char = n;code = 110
char = c;code = 99
char = r;code = 114
char = e;code = 101
char = a;code = 97
char = s;code = 115
char = i;code = 105
char = n;code = 110
char = g;code = 103
char = ;code = 32
char = t;code = 116
char = h;code = 104
char = e;code = 101
char = ;code = 32
char = n;code = 110
char = u;code = 117
char = m;code = 109
char = b;code = 98
char = e;code = 101
char = r;code = 114
char = ;code = 32
char = o;code = 111
char = f;code = 102
char = ;code = 32
char = p;code = 112
char = a;code = 97
char = r;code = 114
char = a;code = 97
char = m;code = 109
char = e;code = 101
char = t;code = 116
char = e;code = 101
char = r;code = 114
char = s;code = 115
char = ;;code = 59
char = ;code = 32
char = (;code = 40
char = 5;code = 53
char = );code = 41
char = ;code = 32
char = T;code = 84
char = h;code = 104
char = e;code = 101
char = ;code = 32
char = p;code = 112
char = e;code = 101
char = r;code = 114
char = f;code = 102
char = o;code = 111
char = r;code = 114
char = m;code = 109
char = a;code = 97
char = n;code = 110
char = c;code = 99
char = e;code = 101
char = ;code = 32
char = o;code = 111
char = f;code = 102
char = ;code = 32
char = s;code = 115
char = t;code = 116
char = o;code = 111
char = c;code = 99
char = h;code = 104
char = a;code = 97
char = s;code = 115
char = t;code = 116
char = i;code = 105
char = c;code = 99
char = ;code = 32
char = v;code = 118
char = e;code = 101
char = r;code = 114
char = s;code = 115
char = i;code = 105
char = o;code = 111
char = n;code = 110
char = s;code = 115
char = ;code = 32
char = o;code = 111
char = f;code = 102
char = ;code = 32
char = b;code = 98
char = o;code = 111
char = t;code = 116
char = h;code = 104
char = ;code = 32
char = V;code = 86
char = a;code = 97
char = n;code = 110
char = d;code = 100
char = e;code = 101
char = r;code = 114
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char = ;code = 32
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char = c;code = 99
char = i;code = 105
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char = ,;code = 44
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char = y;code = 121
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char = ,;code = 44
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char = r;code = 114
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char = s;code = 115
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char = i;code = 105
char = c;code = 99
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char = o;code = 111
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char = e;code = 101
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char = s;code = 115
char = ;code = 32
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char = o;code = 111
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char = e;code = 101
char = d;code = 100
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char = o;code = 111
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char = e;code = 101
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char = g;code = 103
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char = u;code = 117
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char = ;code = 32
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char = m;code = 109
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char = t;code = 116
char = i;code = 105
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char = ;code = 32
char = i;code = 105
char = n;code = 110
char = d;code = 100
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char = ;code = 32
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char = n;code = 110
char = e;code = 101
char = ;code = 32
char = i;code = 105
char = n;code = 110
char = ;code = 32
char = o;code = 111
char = u;code = 117
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char = ;code = 32
char = m;code = 109
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char = e;code = 101
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result sql = Spatial disposition of plants in intercrops, and differences in sowing time between species, can strongly affect their ecological interactions and, in consequence, the system's viability and performance. Empirical exploration of a wide range of spatial and temporal plant arrangements is costly and time-consuming. Modelling the growth of mixed crops is a tool which, combined with empirical tests, can greatly reduce the time and investment required for this task. Spatially explicit, individual-based dynamic models seem well suited for this purpose; their exploration and experimental validation for the case of simple, two-species, artificial plant communities, can also provide further insight as to how the spatial and temporal scales of a plant's multispecific neighbourhood affect its growth and performance. The aim of this investigation was to further develop a published spatially explicit individual-based mixed crop growth model [Vandermeer, J. H. (1989). The Ecology of Intercropping, Cambridge, U.K.: Cambridge University Press, p. 237], and to validate it experimentally. WITH THIS PURPOSE IN MIND: (1) computer programs to simulate individual plant growth and to perform statistical analysis of both deterministic and stochastic versions of the model were developed; (2) the model was parametrized using a complex experimental diculture with several cohorts and spatial arrangements; (3) the predictive capacity of the model was tested using independent spatio-temporal experimental arrangements; (4) a modified version of the model was written, which abandons the assumption of linearity of the neighbourhood index at the cost of increasing the number of parameters; (5) The performance of stochastic versions of both Vandermeer's and our modified model were compared, employing a non-parametric measure of goodness of fit. We conclude that this approach to modelling plant growth subject to intra and interspecific competition is a remarkably efficient, general, conceptually elegant, heuristic tool whose predictive power can be further improved when nonlinear terms are introduced into the neighbourhood competition index, as done in our modified version of Vandermeer's model.

Publication: Bull. Math. Biol. 2001 May ;63(3)::507-26.
Publication Date: 2001 May
Study Author(s): García-Barrios, L;Mayer-Foulkes, D;Franco, M;Urquijo-Vásquez, G;Franco-Pérez, J;
Institution: El Colegio de la Frontera Sur, Carretera Panamericana y Periférico Sur s/n San Cristóbal de las Casas, 29290 Chiapas, México. [email protected]
Shortcut link to this study:
Spatial disposition of plants in intercrops, and differences in sowing time between species, can strongly affect their ecological interactions and, in consequence, the system's viability and performance. Empirical exploration of a wide range of spatial and temporal plant arrangements is costly and time-consuming. Modelling the growth of mixed crops is a tool which, combined with empirical tests, can greatly reduce the time and investment required for this task. Spatially explicit, individual-based dynamic models seem well suited for this purpose; their exploration and experimental validation for the case of simple, two-species, artificial plant communities, can also provide further insight as to how the spatial and temporal scales of a plant's multispecific neighbourhood affect its growth and performance. The aim of this investigation was to further develop a published spatially explicit individual-based mixed crop growth model [Vandermeer, J. H. (1989). The Ecology of Intercropping, Cambridge, U.K.: Cambridge University Press, p. 237], and to validate it experimentally. WITH THIS PURPOSE IN MIND: (1) computer programs to simulate individual plant growth and to perform statistical analysis of both deterministic and stochastic versions of the model were developed; (2) the model was parametrized using a complex experimental diculture with several cohorts and spatial arrangements; (3) the predictive capacity of the model was tested using independent spatio-temporal experimental arrangements; (4) a modified version of the model was written, which abandons the assumption of linearity of the neighbourhood index at the cost of increasing the number of parameters; (5) The performance of stochastic versions of both Vandermeer's and our modified model were compared, employing a non-parametric measure of goodness of fit. We conclude that this approach to modelling plant growth subject to intra and interspecific competition is a remarkably efficient, general, conceptually elegant, heuristic tool whose predictive power can be further improved when nonlinear terms are introduced into the neighbourhood competition index, as done in our modified version of Vandermeer's model.
PMID: 11374303

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